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Store A:12 oranges for $6.48 →   54 cents per orange

Store B: 5 oranges for $2.65  →   53  cents per orange

She saves 24 cents

Cows = x

Chickens = 30 - x

So

4x  + 2 [30 - x ]  = 80

4x + 60 - 2x  = 80     rearrange

2x  = 20    

x  = 10   =  Cows

30 - x  = 30 - 10  = 20  = Chickens

hold down shift and press the acos button, which is located in the same position as the normal cosine button

Here is my stab at it:

1- Qc/Qh = 1 - 288/830 = .653    or  65.3 % effeicient

65.3/100 = 230000/x

x = 352214 j    input needed       (Note: slight change in final answer calculation)

1/4 x - 3/2 x = -1/2

1/4 x - 6/4 x = -1/2

- 5/4 x = - 1/2

x = -1/2(-4/5) = 4/10

welcome back

it is 11x

Is there more to your question than this?   Add to this post if so....

3x + 8x = 11x

21/5 =    4  1/5    = 4.2

2nd and tan

9

I only have a partial knowledge of such things.    LOL

Depending upon what is meant, either

(2/3)^3  = 8 / 27  or

2 / 3^3   =  2 / 27

x =      [ - 6 ±√ [ 6^2 -  4 (3)(-5) ] / (2 *3)   =  [ - 6 ±√ [ 36  + 60 ] / (6)  =

[ - 6 ±√ [ 96 ] / (6)   =  [ - 6 ±√ [ 16 * 6 ] / (6)   =  [ - 6 ± 4√ [  6 ] / (6)  ]

[ - 3 ± 2√ [  6 ] / (3)

sin x  = 1 / √[ 1^2 + 8^2]  = 1 / √65   = √65 / 65

Let  x be the shorter side....and x + 2  be the longer side.....so we have

x ( x + 2) = 15

x^2 + 2x = 15     subtract 15 from both sides

x^2 + 2x - 15  = 0   factor

(x - 3) ( x + 5)  = 0

Set each factor to 0 and x  = 3   or  x  = -5  [reject]

So the shorter side = 3 in

the answer is 21

5.5 x 10^3     ( I added the '3')   x   20 =  110 x 10^3 = 1.10 x 10^5 sq mi  (Nevada size)

(-2h^3y)^2   =    (-2)^2 (h^3)^2 (y^2)   =   4 h^6 y^2

Example    848   mod 28    will give the answer '8' which is the remainder after division...

First enter 848

then the '2nd' key

then the 'mod'  key (which WAS the division key)

then  '28' then '='

If the dragon DOUBLES in size each day.....the day prior it is 1/2 size

full cave = 20 days     previous day it was 1/2 size of the cave     so answer is 19 days to fill 1/2 cave

Here is my stab at it:

1- Qc/Qh =~ 1 - 288/830 = .653    or  65.3 % effeicient      (the  Carnot effic =  (Th-Tc)/Th  )

65.3/100 = 230000/x

x = 353846 j    input needed

309 mod 16 = 5      so 11 more movies would be required for a total of  320 movies(  so there will be no remainders after division by 16 shelves   (20 movies per shelf) )

848 mod 28 = 8